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Theorems · Theorem · linear algebra

Matrix.updateCol_eq_self

∀ {m : Type u_2} {n : Type u_3} {α : Type v} [inst : DecidableEq n] (A : Matrix m n α) (i : n),
  (A.updateCol i fun j => A j i) = A
Defined in
Mathlib.LinearAlgebra.Matrix.RowCol
Cited by
2 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEq
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Polynomial.resultant_C_mul_right · cited by 5Polynomial.resultant_C_mu…Matrix.updateCol_zero_zero · cited by 1Matrix.updateCol_zero_zeroMatrix · cited by 4303MatrixMatrix.updateCol · cited by 45Matrix.updateColFunction.update_eq_self · cited by 41Function.update_eq_selfMatrix.updateCol_eq_selfCITED BYCITES

Cites3

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Cited by2

Results whose statement or proof uses this declaration.